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145011312999 = 3272834578669
BaseRepresentation
bin1000011100001101011…
…0010000100101100111
3111212022002100221211100
42013003112100211213
54333440344003444
6150341155411143
713322341552200
oct2070326204547
9455262327740
10145011312999
1156554118833
122412bbb3ab3
131089cb81c67
147038dd65a7
153b8ab5ee69
hex21c3590967

145011312999 has 72 divisors (see below), whose sum is σ = 247162209840. Its totient is φ = 81676691712.

The previous prime is 145011312967. The next prime is 145011313003. The reversal of 145011312999 is 999213110541.

It is a happy number.

145011312999 is a `hidden beast` number, since 1 + 4 + 501 + 1 + 31 + 29 + 99 = 666.

It is not a de Polignac number, because 145011312999 - 25 = 145011312967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145011312899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16723237 + ... + 16731905.

It is an arithmetic number, because the mean of its divisors is an integer number (3432808470).

Almost surely, 2145011312999 is an apocalyptic number.

145011312999 is a deficient number, since it is larger than the sum of its proper divisors (102150896841).

145011312999 is a wasteful number, since it uses less digits than its factorization.

145011312999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9229 (or 9219 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 145011312999 in words is "one hundred forty-five billion, eleven million, three hundred twelve thousand, nine hundred ninety-nine".

Divisors: 1 3 7 9 21 49 63 83 147 249 441 457 581 747 1371 1743 3199 4067 4113 5229 8669 9597 12201 22393 26007 28791 36603 37931 60683 67179 78021 113793 182049 201537 265517 341379 424781 546147 719527 796551 1274343 1858619 2158581 2389653 3823029 3961733 5036689 5575857 6475743 11885199 15110067 16727571 27732131 35256823 35655597 45330201 83196393 105770469 194124917 249589179 317311407 328823839 582374751 986471517 1747124253 2301766873 2959414551 6905300619 16112368111 20715901857 48337104333 145011312999